3 citations · 4 across the 3 of their papers we have counts for
4 papers
Gosper's and Ramanujan's infinite products and generalizations
Jean-Paul Allouche, John M. Campbell, Simon R. Holcombe +2
Gosper introduced many remarkable formulas involving infinite products. One such formula provides an evaluation of the product $$\prod_{n \geq 1} \frac{1}{e}\left(\frac{1}{3n} + 1\…
Falling Coupled Oscillators & Trigonometric Sums
S. R. Holcombe
A method for evaluating finite trigonometric summations is applied to a system of N coupled oscillators under acceleration. Initial motion of the nth particle is shown to be of the…
A product representation of pi
S. R. Holcombe
This short note delivers, via elementary calculations, a product representation of pi.
Charge Transport in one Dimension:Dissipative and Non-Dissipative Space-Charge Limited Currents
S. R. Holcombe, E. R. Smith
We consider charge transport in nanopores where the dielectric constant inside the nanopore is much greater than in the surrounding material, so that the flux of the electric field…